Positive exponent in families with flat critical point
1999 (English)In: Ergodic Theory and Dynamical Systems, ISSN 0143-3857, E-ISSN 1469-4417, Vol. 19, no 3, 767-807 p.Article in journal (Refereed) Published
It is known that in generic, full unimodal families with a critical point of finite order, there exists a set of positive measure in parameter space such that the corresponding maps have chaotic behaviour. In this paper we prove the corresponding statement for certain families of unimodal maps with flat critical point. One of the key-points is a large deviation argument for sums of ‘almost’ independent random variables with only finitely many moments.
Place, publisher, year, edition, pages
Cambridge University Press, 1999. Vol. 19, no 3, 767-807 p.
Research subject Mathematics
IdentifiersURN: urn:nbn:se:kth:diva-190144ISI: 000081037700015ScopusID: 2-s2.0-0033457439OAI: oai:DiVA.org:kth-190144DiVA: diva2:951778
QC 201608112016-08-102016-08-102016-08-18Bibliographically approved